K13n1380
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Polynomial invariants
| Jones polynomial | Data:K13n1380/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+3 t^4-4 t^3+4 t^2-3 t+3-3 t^{-1} +4 t^{-2} -4 t^{-3} +3 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n1380/Conway Polynomial |
| Determinant | 33 |
| Signature | 8 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-8} +z^8 a^{-6} -9 z^8 a^{-8} +z^8 a^{-10} +8 z^6 a^{-6} -31 z^6 a^{-8} +8 z^6 a^{-10} +23 z^4 a^{-6} -54 z^4 a^{-8} +22 z^4 a^{-10} -z^4 a^{-12} +28 z^2 a^{-6} -51 z^2 a^{-8} +26 z^2 a^{-10} -3 z^2 a^{-12} +12 a^{-6} -21 a^{-8} +12 a^{-10} -2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +5 z^{10} a^{-8} +4 z^{10} a^{-10} -6 z^9 a^{-7} +6 z^9 a^{-11} -9 z^8 a^{-6} -38 z^8 a^{-8} -25 z^8 a^{-10} +4 z^8 a^{-12} +7 z^7 a^{-7} -34 z^7 a^{-9} -39 z^7 a^{-11} +2 z^7 a^{-13} +31 z^6 a^{-6} +102 z^6 a^{-8} +48 z^6 a^{-10} -22 z^6 a^{-12} +z^6 a^{-14} +16 z^5 a^{-7} +106 z^5 a^{-9} +80 z^5 a^{-11} -10 z^5 a^{-13} -51 z^4 a^{-6} -123 z^4 a^{-8} -38 z^4 a^{-10} +29 z^4 a^{-12} -5 z^4 a^{-14} -37 z^3 a^{-7} -112 z^3 a^{-9} -67 z^3 a^{-11} +8 z^3 a^{-13} +40 z^2 a^{-6} +74 z^2 a^{-8} +23 z^2 a^{-10} -8 z^2 a^{-12} +3 z^2 a^{-14} +19 z a^{-7} +40 z a^{-9} +22 z a^{-11} -z a^{-15} -12 a^{-6} -21 a^{-8} -12 a^{-10} -2 a^{-12} }[/math] |
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